A hotel has two types of rooms: basic and deluxe. On a certain night, the hotel rented 75% of its rooms, including 2/3 of its basic rooms. What percentage of the rooms that were not rented on that night were basic?
(1) 60% of all the rooms in the hotel are basic
(2) On that night, 12.5% of the deluxe rooms were not rented
OA D
Source: Veritas Prep
A hotel has two types of rooms: basic and deluxe. On a certain night, the hotel rented 75% of its rooms, including 2/3
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Sets QuestionBTGmoderatorDC wrote: ↑Sun Mar 27, 2022 6:56 pmA hotel has two types of rooms: basic and deluxe. On a certain night, the hotel rented 75% of its rooms, including 2/3 of its basic rooms. What percentage of the rooms that were not rented on that night were basic?
(1) 60% of all the rooms in the hotel are basic
(2) On that night, 12.5% of the deluxe rooms were not rented
OA D
Source: Veritas Prep
\(B =\) Basic, \(D =\) Deluxe
Consider, Total Rooms \(= 100 = B + D\)
Rented Out \(= 75\)
Statement 1
\(60\%\) rooms are basic
\(\Rightarrow \; 40\) rooms rented out, and \(20\) not rented out. Sufficient \(\Large{\color{green}\checkmark}\)
Statement 2
\(12.5\%\) of deluxe rooms not rented out.
\(\Rightarrow \; \dfrac{1}{8}\) not rented out, and \(\dfrac{7}{8}\) rented out
\(\dfrac{2}{3}B + \dfrac{7}{8} D = 75\)
From the Question, \(B + D = 100\)
We can solve for \(B\). Sufficient \(\Large{\color{green}\checkmark}\)
Therefore, D